Emergence of Ordered Causality from a Non-Metric Vacuum: A Pregeometry Simulation Study

We present a computational investigation of pregeometric dynamics within a non-metric vacuum configuration. Using a high-resolution vacuum evolution model with 2048 field modes and Planck-scale initialization, the system was evolved over a 10−4010^{-40}10−40 temporal span with ultra-fine 10−4610^{-46}10−46 step increments and a 131,072-member ensemble. The simulation produced a coherent set of causal nodes, sequentially ordered along a one-dimensional axis. This structure represents a self-organized causal chain arising spontaneously from vacuum fluctuations. A corresponding metric-emergence signal of 6.467 was detected, indicating significant early-stage ordering consistent with proto-metric formation. No curvature nucleation or topological branching was observed at this stage, suggesting a regime dominated by linear causal structuring prior to higher-order geometric evolution. These results provide a computational probe into how low-dimensional causal ordering may arise from a non-metric substrate, contributing to ongoing inquiries into pregeometry, metric emergence, and the foundations of spacetime formation.